Boundary behavior of generalized analytic functions *

摘要

We study the boundary properties of the solutions of the elliptic equation a(z)?_zu + b(z)?_zu + A(z)u + B(z)u = 0 under the assumption that a and b are H?lder continuous and A and B are in Lp for some p > 2. These properties include the Hp property, the F. and M. Riesz property and the Rudin–Carleson property.